论文标题
为退化高级方程式构建单数解决方案
Building singular solutions for degenerate high order equations
论文作者
论文摘要
在本文中，使用相似性方法，我们构建具有奇异性高阶方程的奇异性的特定解决方案。所考虑的方程式具有第一和第二种的奇异性。特定的解决方案是通过广义高几幅功能表达的。在线性独立的解决方案的数量等于方程的顺序下，获得了足够的条件。
In this paper, using the similarity method, we construct particular solutions with singularities for degenerate high-order equations. The considered equations have singularities of the first and second kind. Particular solutions are expressed through generalized hypergeometric functions. Sufficient conditions are obtained under which the number of linearly independent solutions is equal to the order of the equation.
